Results 91 to 100 of about 26,669 (259)
Exact Solutions of a Class of Nonlinear Elliptic Systems of a Special Type
Известия Иркутского государственного университета: Серия "Математика", 2015 In paper the problem of construction of exact solutions for nonlinear system of two equations of elliptic type is studied. Nonlinear systems of the equations of elliptic type are applied as mathematical models in the theory warm and a mass transfer of ...
A.A. Kosov, E.I. Semenov
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Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыThis study is devoted to obtaining an analytical expression for the solution of a non-local boundary value problem for a linear inhomogeneous differential equation with variable coefficients, which principle part is the Cauchy–Riemann equation.
M. Rasulov, N. Aliyev, B. Sinsoysal
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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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Nonlocal elliptic equations in bounded domains: a survey [PDF]
, 2015 Xavier Ros‐Oton
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Controllable Dynamic Mechanical Cell Stimulation using Magnetically Actuated Artificial Cilia
Advanced Healthcare Materials, EarlyView.This paper introduces a platform based on magnetic artificial cilia for providing controllable dynamic mechanical stimulation to single cells, suitable for investigating large cell populations and enabling live cell imaging. Proof‐of‐principle experiments show that cell morphology is strongly influenced by the artificial cilia, that cellular forces can
Roel Kooi +5 more
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Boundary Value Problems, 2010 We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations.
Hassan Zedan
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On the Differentiability of Generalized Solutions of First Order Elliptic Equations with Discontinuous Coefficients [PDF]
, 1966 A. H. Schatz
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Surrogate-Based Physics-Informed Neural Networks for Elliptic Partial Differential Equations
, 2023 Peng Zhi +5 more
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Advanced Healthcare Materials, EarlyView.A superhydrophobic 3D cell culture platform enables rapid and consistent formation of heterotypic tumor–stroma clusters, and reveals how physiological shear conditions influence metastatic signaling. Mechanical stimulation of cancer‐associated fibroblasts promotes sustained cytokine secretion and survival‐promoting pathways, showing how multicellular ...
Alexandria T. Carter +5 more
wiley +1 more source